The IRMA Community
Newsletters
Research IRM
Click a keyword to search titles using our InfoSci-OnDemand powered search:
|
Higher-Dimensional Space of Nanoworld
Abstract
In this chapter, a geometrical model to accurately describe the distribution of light points in diffraction patterns of quasicrystals is proposed. It is shown that the proposed system of parallel lines has axes of the fifth order and periodically repeating the fundamental domain of the quasicrystals. This fundamental domain is 4D-polytope, called the golden hyper-rhombohedron. It consists of eight rhombohedrons densely filling the 4D space. Faces of the hyper-rhombohedron are connected by the golden section; they can be scaled as needed. On this universal lattice of the vertices of the golden hyper-rhombohedrons, famous crystallographic lattices—Bravais, Delone, Voronoi, etc.—can be embedded. On the lattice of the vertices of the golden hyper-rhombohedrons, projections of all regular three-dimensional convex bodies—Plato's bodies—can be constructed.
Related Content
|
Wassim Jaber.
© 2024.
24 pages.
|
|
Hussein A.H. Jaber, Zahraa Saleh, Wassim Jaber, Adnan Badran, Hatem Nasser.
© 2024.
17 pages.
|
|
Sakshi Garg, Kunal Arora, Sumita Singh, K. Nagarajan.
© 2024.
20 pages.
|
|
Wassim Jaber.
© 2024.
14 pages.
|
|
Ray Gutierrez Jr..
© 2024.
22 pages.
|
|
Wassim Jaber, Hussein A.H. Jaber, Ramzi Jaber, Zahraa Saleh.
© 2024.
16 pages.
|
|
Zahraa Saleh, Wassim Jaber, Ali Jaber, Edmond Cheble, Mikhael Bechelany, Akram Hijazi, David Cornu, Ghassan Mahmoud Ibrahim.
© 2024.
22 pages.
|
|
|